Question

Simplify. (2a2– 3ab + 5b2) – (a2 – 2ab + 3b2)

Answer 1

Answer:

a2 - ab + 2b2

Step-by-step explanation:

Answer 2

(2a² - 3ab + 5b²) - (a² - 2ab + 3b²)     First distribute - into (a² - 2ab + 3b²)

(2a² - 3ab + 5b²) + (-)a² - (-)2ab + (-)3b²  [two negative signs cancel each other out and become positive]

(2a² - 3ab + 5b²) - a² + 2ab - 3b²   Now combine like terms (terms that have the same variable and power/exponent)

2a² - a² - 3ab + 2ab + 5b² - 3b²   (I rearranged the terms so the like terms are next to each other)

a² - ab + 2b²        Your answer is the 4th option